A student seeks an even function that would represent a graph with a horizontal
asymptote and symmetry around the y-axis. Doctor Peterson suggests considering
functions of the form 1/f(x) — or graphing f(x) by finding 1/y for every x.

A teen struggles to grasp what constitutes a function, and to reconcile the uniqueness
of two functions that differ in notationally or computationally trivial ways. Doctor
Peterson offers perspectives both abstract and concrete.

A discussion of solving equations that can't be solved analytically by
using iterative estimation methods including bisection, false
position, and Newton's method. The equation x(e^x) = 3 is used as an
example.

Let X be a positive integer, A be the number of even digits in that
integer, B be the number of odd digits and C be the number of total
digits. We create the new integer ABC and then we apply that process
repeatedly. We will eventually get the number 123! How can we prove
that?